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<div class="section">
<div class="titlepage"><div><div><h3 class="title">
<a name="boost_multiprecision.perf.realworld"></a><a class="link" href="realworld.html" title="Floating-Point Real World Tests">Floating-Point Real
      World Tests</a>
</h3></div></div></div>
<p>
        These tests test the total time taken to execute all of Boost.Math's test
        cases for these functions. In each case the best performing library gets
        a relative score of 1, with the total execution time given in brackets. Times
        are shown for both single threaded runs and concurrent execution - the latter
        increases contension inside new/delete.
      </p>
<div class="table">
<a name="boost_multiprecision.perf.realworld.bessel_functions_50_digit_precis"></a><p class="title"><b>Table 1.14. Bessel Functions (50 digit precision)</b></p>
<div class="table-contents"><table class="table" summary="Bessel Functions (50 digit precision)">
<colgroup>
<col>
<col>
<col>
</colgroup>
<thead><tr>
<th>
                <p>
                  Type
                </p>
              </th>
<th>
                <p>
                  Time
                </p>
              </th>
<th>
                <p>
                  # Allocations
                </p>
              </th>
</tr></thead>
<tbody>
<tr>
<td>
                <p>
                  cpp_bin_float_50
                </p>
              </td>
<td>
                <p>
                  2.20534 (0.315701s)
                </p>
              </td>
<td>
                <p>
                  4
                </p>
              </td>
</tr>
<tr>
<td>
                <p>
                  cpp_bin_float_50 (3 concurrent threads)
                </p>
              </td>
<td>
                <p>
                  2.36703 (0.338848s)
                </p>
              </td>
<td>
                <p>
                  44
                </p>
              </td>
</tr>
<tr>
<td>
                <p>
                  cpp_dec_float_50
                </p>
              </td>
<td>
                <p>
                  2.6349 (0.377193s)
                </p>
              </td>
<td>
                <p>
                  3
                </p>
              </td>
</tr>
<tr>
<td>
                <p>
                  cpp_dec_float_50 (3 concurrent threads)
                </p>
              </td>
<td>
                <p>
                  2.86599 (0.410275s)
                </p>
              </td>
<td>
                <p>
                  37
                </p>
              </td>
</tr>
<tr>
<td>
                <p>
                  mpf_float_50
                </p>
              </td>
<td>
                <p>
                  1.17269 (0.167874s)
                </p>
              </td>
<td>
                <p>
                  870726
                </p>
              </td>
</tr>
<tr>
<td>
                <p>
                  mpf_float_50 (3 concurrent threads)
                </p>
              </td>
<td>
                <p>
                  1.43643 (0.205629s)
                </p>
              </td>
<td>
                <p>
                  3482853
                </p>
              </td>
</tr>
<tr>
<td>
                <p>
                  mpf_float_50 (no expression templates
                </p>
              </td>
<td>
                <p>
                  1.19799 (0.171495s)
                </p>
              </td>
<td>
                <p>
                  1071229
                </p>
              </td>
</tr>
<tr>
<td>
                <p>
                  mpf_float_50 (no expression templates (3 concurrent threads)
                </p>
              </td>
<td>
                <p>
                  1.57224 (0.22507s)
                </p>
              </td>
<td>
                <p>
                  4284875
                </p>
              </td>
</tr>
<tr>
<td>
                <p>
                  mpfr_float_50
                </p>
              </td>
<td>
                <p>
                  1.42535 (0.204043s)
                </p>
              </td>
<td>
                <p>
                  813605
                </p>
              </td>
</tr>
<tr>
<td>
                <p>
                  mpfr_float_50 (3 concurrent threads)
                </p>
              </td>
<td>
                <p>
                  1.66446 (0.238272s)
                </p>
              </td>
<td>
                <p>
                  3255603
                </p>
              </td>
</tr>
<tr>
<td>
                <p>
                  mpfr_float_50 (no expression templates
                </p>
              </td>
<td>
                <p>
                  1.51042 (0.216221s)
                </p>
              </td>
<td>
                <p>
                  1001796
                </p>
              </td>
</tr>
<tr>
<td>
                <p>
                  mpfr_float_50 (no expression templates (3 concurrent threads)
                </p>
              </td>
<td>
                <p>
                  1.86742 (0.267326s)
                </p>
              </td>
<td>
                <p>
                  4008535
                </p>
              </td>
</tr>
<tr>
<td>
                <p>
                  static_mpfr_float_50
                </p>
              </td>
<td>
                <p>
                  1.02344 (0.146508s)
                </p>
              </td>
<td>
                <p>
                  18685
                </p>
              </td>
</tr>
<tr>
<td>
                <p>
                  static_mpfr_float_50 (3 concurrent threads)
                </p>
              </td>
<td>
                <p>
                  1.25745 (0.180008s)
                </p>
              </td>
<td>
                <p>
                  75947
                </p>
              </td>
</tr>
<tr>
<td>
                <p>
                  static_mpfr_float_50 (no expression templates)
                </p>
              </td>
<td>
                <p>
                  1 (0.143153s)
                </p>
              </td>
<td>
                <p>
                  46826
                </p>
              </td>
</tr>
<tr>
<td>
                <p>
                  static_mpfr_float_50 (no expression templates) (3 concurrent threads)
                </p>
              </td>
<td>
                <p>
                  1.12861 (0.161564s)
                </p>
              </td>
<td>
                <p>
                  189192
                </p>
              </td>
</tr>
</tbody>
</table></div>
</div>
<br class="table-break"><div class="table">
<a name="boost_multiprecision.perf.realworld.non_central_t_distribution_50_di"></a><p class="title"><b>Table 1.15. Non-central T Distribution (50 digit precision)</b></p>
<div class="table-contents"><table class="table" summary="Non-central T Distribution (50 digit precision)">
<colgroup>
<col>
<col>
<col>
</colgroup>
<thead><tr>
<th>
                <p>
                  Type
                </p>
              </th>
<th>
                <p>
                  Time
                </p>
              </th>
<th>
                <p>
                  # Allocations
                </p>
              </th>
</tr></thead>
<tbody>
<tr>
<td>
                <p>
                  cpp_bin_float_50
                </p>
              </td>
<td>
                <p>
                  2.3739 (59.0179s)
                </p>
              </td>
<td>
                <p>
                  1
                </p>
              </td>
</tr>
<tr>
<td>
                <p>
                  cpp_bin_float_50 (3 concurrent threads)
                </p>
              </td>
<td>
                <p>
                  3.21496 (79.9276s)
                </p>
              </td>
<td>
                <p>
                  29
                </p>
              </td>
</tr>
<tr>
<td>
                <p>
                  cpp_dec_float_50
                </p>
              </td>
<td>
                <p>
                  2.47505 (61.5326s)
                </p>
              </td>
<td>
                <p>
                  4
                </p>
              </td>
</tr>
<tr>
<td>
                <p>
                  mpf_float_50
                </p>
              </td>
<td>
                <p>
                  1.13495 (28.2162s)
                </p>
              </td>
<td>
                <p>
                  162346817
                </p>
              </td>
</tr>
<tr>
<td>
                <p>
                  mpf_float_50 (no expression templates
                </p>
              </td>
<td>
                <p>
                  1 (24.8611s)
                </p>
              </td>
<td>
                <p>
                  154896018
                </p>
              </td>
</tr>
<tr>
<td>
                <p>
                  mpfr_float_50
                </p>
              </td>
<td>
                <p>
                  1.84473 (45.8621s)
                </p>
              </td>
<td>
                <p>
                  196986977
                </p>
              </td>
</tr>
<tr>
<td>
                <p>
                  mpfr_float_50 (no expression templates
                </p>
              </td>
<td>
                <p>
                  1.66952 (41.5062s)
                </p>
              </td>
<td>
                <p>
                  194554719
                </p>
              </td>
</tr>
<tr>
<td>
                <p>
                  static_mpfr_float_50
                </p>
              </td>
<td>
                <p>
                  1.25101 (31.1014s)
                </p>
              </td>
<td>
                <p>
                  1798554
                </p>
              </td>
</tr>
</tbody>
</table></div>
</div>
<br class="table-break"><div class="table">
<a name="boost_multiprecision.perf.realworld.platform"></a><p class="title"><b>Table 1.16. Platform Details</b></p>
<div class="table-contents"><table class="table" summary="Platform Details">
<colgroup>
<col>
<col>
</colgroup>
<thead><tr>
<th>
                <p>
                  Platform
                </p>
              </th>
<th>
                <p>
                  Linux 5.3.0-24-generic, version #26-Ubuntu SMP Thu Nov 14 01:33:18
                  UTC 2019, x86_64
                </p>
              </th>
</tr></thead>
<tbody>
<tr>
<td>
                <p>
                  Compiler
                </p>
              </td>
<td>
                <p>
                  GNU C++ version 9.2.1 20191008
                </p>
              </td>
</tr>
<tr>
<td>
                <p>
                  GMP
                </p>
              </td>
<td>
                <p>
                  6.1.2
                </p>
              </td>
</tr>
<tr>
<td>
                <p>
                  MPFR
                </p>
              </td>
<td>
                <p>
                  262146
                </p>
              </td>
</tr>
<tr>
<td>
                <p>
                  Boost
                </p>
              </td>
<td>
                <p>
                  107200
                </p>
              </td>
</tr>
<tr>
<td>
                <p>
                  Run date
                </p>
              </td>
<td>
                <p>
                  Dec 13 2019
                </p>
              </td>
</tr>
</tbody>
</table></div>
</div>
<br class="table-break">
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<td align="right"><div class="copyright-footer">Copyright © 2002-2020 John
      Maddock and Christopher Kormanyos<p>
        Distributed under the Boost Software License, Version 1.0. (See accompanying
        file LICENSE_1_0.txt or copy at <a href="http://www.boost.org/LICENSE_1_0.txt" target="_top">http://www.boost.org/LICENSE_1_0.txt</a>)
      </p>
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